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Finding the Fourth Proportional to 2,180.23, 3,268.92 and 863.57

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Solution

The fourth proportional to 2,180.23, 3,268.92 and 863.57 is: 1,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.23 : 3,268.92 = 863.57 : x
  2. Step 2: Convert to fraction form
    2,180.23/3,268.92 = 863.57/x
  3. Step 3: Cross multiply
    2,180.23x = 3,268.92 × 863.57
  4. Step 4: Simplify right side
    2,180.23x = 2,822,941.24
  5. Step 5: Solve for x
    x = 2,822,941.24/2,180.23
  6. Step 6: Final answer
    x = 1,294.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.